Validated integrator for ODEs based on Taylor models with ellipsoidal remainder term.
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Tmatrix< Interval > | boundQ () const |
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| EllipsoidalIntegrator () |
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| EllipsoidalIntegrator (const DifferentialEquation &rhs_, const int &N_=3) |
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| EllipsoidalIntegrator (const EllipsoidalIntegrator &arg) |
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template<typename T > |
Tmatrix< Interval > | getStateBound (const Tmatrix< T > &x) const |
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returnValue | init (const DifferentialEquation &rhs_, const int &N_=3) |
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Tmatrix< Interval > | integrate (double t0, double tf, int M, const Tmatrix< Interval > &x) |
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Tmatrix< Interval > | integrate (double t0, double tf, int M, const Tmatrix< Interval > &x, const Tmatrix< Interval > &p) |
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Tmatrix< Interval > | integrate (double t0, double tf, int M, const Tmatrix< Interval > &x, const Tmatrix< Interval > &p, const Tmatrix< Interval > &w) |
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template<typename T > |
returnValue | integrate (double t0, double tf, Tmatrix< T > *x, Tmatrix< T > *p=0, Tmatrix< T > *w=0) |
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virtual EllipsoidalIntegrator & | operator= (const EllipsoidalIntegrator &arg) |
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template<typename T > |
double | step (const double &t, const double &tf, Tmatrix< T > *x, Tmatrix< T > *p=0, Tmatrix< T > *w=0) |
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virtual | ~EllipsoidalIntegrator () |
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int | addLogRecord (LogRecord &_record) |
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returnValue | addOption (OptionsName name, int value) |
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returnValue | addOption (OptionsName name, double value) |
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returnValue | addOption (uint idx, OptionsName name, int value) |
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returnValue | addOption (uint idx, OptionsName name, double value) |
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returnValue | addOptionsList () |
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| AlgorithmicBase () |
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| AlgorithmicBase (UserInteraction *_userInteraction) |
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| AlgorithmicBase (const AlgorithmicBase &rhs) |
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returnValue | get (OptionsName name, int &value) const |
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returnValue | get (OptionsName name, double &value) const |
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returnValue | get (OptionsName name, std::string &value) const |
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returnValue | get (uint idx, OptionsName name, int &value) const |
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returnValue | get (uint idx, OptionsName name, double &value) const |
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returnValue | getAll (LogName _name, MatrixVariablesGrid &values) const |
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returnValue | getFirst (LogName _name, DMatrix &firstValue) const |
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returnValue | getFirst (LogName _name, VariablesGrid &firstValue) const |
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returnValue | getLast (LogName _name, DMatrix &lastValue) const |
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returnValue | getLast (LogName _name, VariablesGrid &lastValue) const |
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Options | getOptions (uint idx) const |
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BooleanType | haveOptionsChanged () const |
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BooleanType | haveOptionsChanged (uint idx) const |
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AlgorithmicBase & | operator= (const AlgorithmicBase &rhs) |
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returnValue | plot (PlotFrequency _frequency=PLOT_IN_ANY_CASE) |
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returnValue | printLogRecord (std::ostream &_stream, int idx, LogPrintMode _mode=PRINT_ITEM_BY_ITEM) const |
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returnValue | replot (PlotFrequency _frequency=PLOT_IN_ANY_CASE) |
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returnValue | set (OptionsName name, int value) |
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returnValue | set (OptionsName name, double value) |
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returnValue | set (OptionsName name, const std::string &value) |
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returnValue | set (uint idx, OptionsName name, int value) |
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returnValue | set (uint idx, OptionsName name, double value) |
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returnValue | setAll (LogName _name, const MatrixVariablesGrid &values) |
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returnValue | setLast (LogName _name, int lastValue, double time=-INFTY) |
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returnValue | setLast (LogName _name, double lastValue, double time=-INFTY) |
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returnValue | setLast (LogName _name, const DVector &lastValue, double time=-INFTY) |
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returnValue | setLast (LogName _name, const DMatrix &lastValue, double time=-INFTY) |
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returnValue | setLast (LogName _name, const VariablesGrid &lastValue, double time=-INFTY) |
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returnValue | setOptions (const Options &arg) |
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returnValue | setOptions (uint idx, const Options &arg) |
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virtual | ~AlgorithmicBase () |
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template<typename T > |
Tmatrix< Interval > | bound (const Tmatrix< T > &x) const |
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template<typename T > |
void | center (Tmatrix< T > &x) const |
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void | copy (const EllipsoidalIntegrator &arg) |
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Tmatrix< Interval > | evalC (const Tmatrix< double > &C, double h) const |
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Tmatrix< double > | evalC2 (const Tmatrix< double > &C, double h) const |
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template<typename T > |
Tmatrix< T > | evaluate (Function &f, double t, Tmatrix< T > *x, Tmatrix< T > *p, Tmatrix< T > *w) const |
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template<typename T > |
Tmatrix< T > | evaluate (Function &f, Interval t, Tmatrix< T > *x, Tmatrix< T > *p, Tmatrix< T > *w) const |
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template<typename T > |
Tmatrix< T > | getPolynomial (const Tmatrix< T > &x) const |
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template<typename T > |
Tmatrix< Interval > | getRemainder (const Tmatrix< T > &x) const |
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template<typename T > |
Tmatrix< double > | hat (const Tmatrix< T > &x) const |
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BooleanType | isIncluded (const Tmatrix< Interval > &A, const Tmatrix< Interval > &B) const |
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double | norm (const Tmatrix< Interval > &E, Tmatrix< Interval > &X) const |
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template<typename T > |
void | phase0 (double t, Tmatrix< T > *x, Tmatrix< T > *p, Tmatrix< T > *w, Tmatrix< T > &coeff, Tmatrix< double > &C) |
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template<typename T > |
double | phase1 (double t, double tf, Tmatrix< T > *x, Tmatrix< T > *p, Tmatrix< T > *w, Tmatrix< T > &coeff, Tmatrix< double > &C) |
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template<typename T > |
void | phase2 (double t, double h, Tmatrix< T > *x, Tmatrix< T > *p, Tmatrix< T > *w, Tmatrix< T > &coeff, Tmatrix< double > &C) |
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template<typename T > |
Tmatrix< T > | phi (const Tmatrix< T > &coeff, const double &h) const |
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double | scale (const Interval &E, const Interval &X) const |
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void | setInfinity () |
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virtual returnValue | setupOptions () |
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void | updateQ (Tmatrix< double > C, Tmatrix< Interval > R) |
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Validated integrator for ODEs based on Taylor models with ellipsoidal remainder term.
- Author
- Mario Villanueva, Boris Houska
Definition at line 60 of file ellipsoidal_integrator.hpp.